Finite Group Databasebeta

← #773260

Subgroups — #773260

Order 512.

4646 conjugacy classes of subgroups.

The subgroup lattice has 797 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2452C212yesmaximal, complemented
2C2×D4×C22⋊C4C212yesmaximal
3#16298C212yesmaximal, complemented
4#15951C212yesmaximal, complemented
5#15506C212yesmaximal, complemented
6#15328C214yesmaximal, complemented
7#15220C212yesmaximal, complemented
8#15125C211yesmaximal, characteristic, complemented
9#14717C214yesmaximal, complemented
10#14127C212yesmaximal, complemented
11#14018C212yesmaximal, complemented
12#13979C212yesmaximal, complemented
13#13941C212yesmaximal, complemented
14#13902C211yesmaximal, characteristic
15C4×#399C211yesmaximal, characteristic, complemented
16C24×D4C2211yescharacteristic
17C22×C4⋊Q8C2211yescharacteristic, complemented
18C22×C22⋊Q8C2214yescomplemented
19C22×C4×D4C2212yes—
20C22×C4×D4C2212yes—
21C23×C22⋊C4C2214yes—
22#2452—216no—
23C2×#399C2211yescharacteristic
24C2×#396C2214yescomplemented
25C2×#393C2212yes—
26C2×#393C2214yescomplemented
27D4×C22⋊C4—216no—
28C2×#390C2212yes—
29C2×#390C2212yes—
30C2×#390C2212yes—
31C2×#390C2212yes—
32C2×#389C2212yescomplemented
33C2×#389C2212yescomplemented
34C2×#386C2214yes—
35C2×#386C2214yes—
36C2×#385C2214yescomplemented
37C2×#385C2214yescomplemented
38C2×#382C2212yescomplemented
39C2×#380C2212yes—
40C2×#380C2211yescharacteristic
41C2×#379C2212yes—
42C2×#379C2214yes—
43C2×#379C2212yes—
44C2×C4×C4⋊C4C2212yescomplemented
45C2×C4×C4⋊C4C2211yescharacteristic, complemented
46C2×C4×C22⋊C4C2212yes—
47C2×C4×C22⋊C4C2211yescharacteristic
48#1446C2212yescomplemented
49#1445C2211yescharacteristic, complemented
50#1445C2212yescomplemented
51#1444C2211yescharacteristic, complemented
52#1443C2214yescomplemented
53#1442C2212yescomplemented
54#1441C2214yescomplemented
55#1439C2212yes—
56#1439C2211yescharacteristic
57#1439C2212yes—
58#1439C2214yes—
59#1439C2214yes—
60#1439C2214yescomplemented
61#1439C2214yescomplemented
62#1439C2214yescomplemented
63#1439C2214yescomplemented
64#1439C2214yescomplemented
65#1439C2214yescomplemented
66#1438C2212yes—
67#1438C2212yes—
68C4⋊#95C2211yescharacteristic, complemented
69C4⋊#95C2212yescomplemented
70C4⋊#95C2212yescomplemented
71C22⋊#95C2214yescomplemented
72C22⋊#95C2214yescomplemented
73C22⋊#95C2214yescomplemented
74C22⋊#95C2214yescomplemented
75C22⋊#95C2214yescomplemented
76C4×#95C2211yescharacteristic, complemented
77C26C2312yes—
78C23×Q8C2312yes—
79C23×D4—28no—
80C23×D4—28no—
81C23×D4—42no—
82C23×D4—42no—
83C23×D4Q818yescomplemented
84C23×D4C2312yes—
85C23×D4C2312yes—
86C24×C4C2311yescharacteristic
87C24×C4C2314yes—
88C24×C4C2314yes—
89C2×C4⋊Q8—28no—
90C2×C4⋊Q8—42no—
91C2×C22⋊Q8—216no—
92C2×C22⋊Q8—48no—
93C2×C22⋊Q8—48no—
94C2×C4×D4—28no—
95C2×C4×D4—28no—
96C2×C4×D4—28no—
97C2×C4×D4—28no—
98C2×C4×D4—44no—
99C2×C4×D4—44no—
100C22×C4⋊C4C2312yes—
101C22×C4⋊C4C2312yes—
102C22×C4⋊C4C2312yes—
103C22×C4⋊C4C2312yes—
104C22×C4⋊C4C2312yes—
105C22×C4⋊C4C2314yes—
106C22×C4⋊C4C2311yescharacteristic
107C22×C4⋊C4C2312yes—
108C22×C4⋊C4C2314yes—
109C22×C4⋊C4C2311yescharacteristic
110C22×C22⋊C4—216no—
111C22×C22⋊C4—48no—
112C22×C22⋊C4—48no—
113C22×C22⋊C4C2312yes—
114C22×C22⋊C4C2311yescharacteristic
115C22×C22⋊C4C2314yes—
116C22×C22⋊C4C2314yes—
117C22×C22⋊C4C2314yes—
118C22×C22⋊C4C2314yes—
119C22×C22⋊C4C2312yes—
120C22×C22⋊C4C2314yes—
121C22×C22⋊C4C2314yes—
122C22×C22⋊C4C2314yes—
123C22×C22⋊C4C2314yes—
124C22×C22⋊C4C2314yes—
125C22×C22⋊C4C2312yes—
126C22×C22⋊C4C2314yes—
127C22×C22⋊C4C2314yes—
128C22×C22⋊C4C2311yescharacteristic
129C22×C42C2312yes—
130C22×C42C2311yescharacteristic
131C22×C42C2311yescharacteristic
132C22×C42C2312yes—
133#399—24no—
134#396—216no—
135#393—216no—
136#393—44no—
137#390—28no—
138#390—28no—
139#390—28no—
140#390D4116yes—
141#389—28no—
142#389—28no—
143#386—216no—
144#386—216no—
145#385—216no—
146#385—48no—
147#382—44no—
148#380—28no—
149#380—42no—
150#379—216no—
151#379—28no—
152#379—44no—
153C4×C4⋊C4—28no—
154C4×C4⋊C4—42no—
155C4×C22⋊C4—28no—
156C4×C22⋊C4—42no—
157C2×#95C2312yes—
158C2×#95C2314yes—
159C2×#95C2314yes—
160C2×#95C2311yescharacteristic
161C2×#95C2312yes—
162C2×#95C2312yes—
163C2×#95C2314yes—
164C2×#95C2312yes—
165C2×#95C2314yes—
166C2×#95C2312yes—
167C2×#95C2311yescharacteristic
168C2×#95C2312yes—
169C2×#95C2314yes—
170C2×#95C2312yes—
171C2×#95C2314yes—
172C2×#95C2312yes—
173C2×#95C2314yes—
174C2×#95C2314yes—
175C2×#95C2314yes—
176C2×#95C2312yes—
177C2×#95C2311yescharacteristic
178C2×#95C2311yescharacteristic
179C25—28no—
180C25—28no—
181C25—24no—
182C25—24no—
183C25—44no—
184C25—42no—
185C25—42no—
186C25—44no—
187C25—42no—
188C25—42no—
189C25C2×Q818yes—
190C25C2414yes—
191C25C2411yescharacteristic
192C22×Q8—28no—
193C22×Q8—24no—
194C22×Q8—44no—
195C22×Q8—42no—
196C22×Q8—42no—
197C22×D4—28no—
198C22×D4—28no—
199C22×D4—264no—
200C22×D4—24no—
201C22×D4—24no—
202C22×D4—24no—
203C22×D4—24no—
204C22×D4—416no—
205C22×D4—42no—
206C22×D4—42no—
207C22×D4—416no—
208C22×D4—432no—
209C22×D4—416no—
210C22×D4C2×D418yes—
211C22×D4C2×Q818yes—
212C22×D4C2×Q818yes—
213C22×D4#4118yes—
214C23×C4—24no—
215C23×C4—24no—
216C23×C4—22no—
217C23×C4—22no—
218C23×C4—28no—
219C23×C4—28no—
220C23×C4—28no—
221C23×C4—28no—
222C23×C4—28no—
223C23×C4—44no—
224C23×C4—44no—
225C23×C4—44no—
226C23×C4—44no—
227C23×C4—44no—
228C23×C4—44no—
229C23×C4—44no—
230C23×C4—44no—
231C23×C4—44no—
232C23×C4C2×Q814yes—
233C23×C4C2414yes—
234C23×C4C2412yes—
235C23×C4C2411yescharacteristic
236C23×C4C2414yes—
237C23×C4C2412yes—
238C23×C4C2414yes—
239C23×C4C2412yes—
240C23×C4C2411yescharacteristic
241C23×C4C2411yescharacteristic
242C23×C4C2411yescharacteristic
243C23×C4C2411yescharacteristic
244C23×C4C2412yes—
245C23×C4C2411yescharacteristic
246C4⋊Q8—416no—
247C22⋊Q8—464no—
248C4×D4—432no—
249C4×D4—432no—
250C2×C4⋊C4—24no—
251C2×C4⋊C4—24no—
252C2×C4⋊C4—24no—
253C2×C4⋊C4—24no—
254C2×C4⋊C4—24no—
255C2×C4⋊C4—24no—
256C2×C4⋊C4—28no—
257C2×C4⋊C4—28no—
258C2×C4⋊C4—28no—
259C2×C4⋊C4—24no—
260C2×C4⋊C4—24no—
261C2×C4⋊C4—24no—
262C2×C4⋊C4—24no—
263C2×C4⋊C4—24no—
264C2×C4⋊C4—22no—
265C2×C4⋊C4—24no—
266C2×C4⋊C4—28no—
267C2×C4⋊C4—24no—
268C2×C4⋊C4—24no—
269C2×C4⋊C4—42no—
270C2×C4⋊C4—41no—
271C2×C4⋊C4—44no—
272C2×C4⋊C4—44no—
273C2×C4⋊C4—44no—
274C2×C4⋊C4—42no—
275C2×C4⋊C4—41no—
276C2×C4⋊C4—41no—
277C2×C4⋊C4C2×D418yes—
278C2×C22⋊C4—24no—
279C2×C22⋊C4—24no—
280C2×C22⋊C4—24no—
281C2×C22⋊C4—28no—
282C2×C22⋊C4—28no—
283C2×C22⋊C4—28no—
284C2×C22⋊C4—28no—
285C2×C22⋊C4—28no—
286C2×C22⋊C4—28no—
287C2×C22⋊C4—24no—
288C2×C22⋊C4—28no—
289C2×C22⋊C4—22no—
290C2×C22⋊C4—28no—
291C2×C22⋊C4—28no—
292C2×C22⋊C4—28no—
293C2×C22⋊C4—24no—
294C2×C22⋊C4—28no—
295C2×C22⋊C4—28no—
296C2×C22⋊C4—28no—
297C2×C22⋊C4—28no—
298C2×C22⋊C4—22no—
299C2×C22⋊C4—28no—
300C2×C22⋊C4—24no—
301C2×C22⋊C4—28no—
302C2×C22⋊C4—464no—
303C2×C22⋊C4—44no—
304C2×C22⋊C4—44no—
305C2×C22⋊C4—44no—
306C2×C22⋊C4—44no—
307C2×C22⋊C4—41no—
308C2×C22⋊C4—42no—
309C2×C22⋊C4—44no—
310C2×C22⋊C4—44no—
311C2×C22⋊C4—44no—
312C2×C22⋊C4—44no—
313C2×C22⋊C4—44no—
314C2×C22⋊C4—44no—
315C2×C22⋊C4—41no—
316C2×C22⋊C4—41no—
317C2×C22⋊C4—44no—
318C2×C22⋊C4—44no—
319C2×C22⋊C4—44no—
320C2×C22⋊C4—44no—
321C2×C22⋊C4—44no—
322C2×C22⋊C4—42no—
323C2×C22⋊C4—42no—
324C2×C22⋊C4C2×D4116yes—
325C2×C22⋊C4C2×D4116yes—
326C2×C22⋊C4#4114yes—
327C2×C42—24no—
328C2×C42—24no—
329C2×C42—24no—
330C2×C42—24no—
331C2×C42—24no—
332C2×C42—24no—
333C2×C42—24no—
334C2×C42—22no—
335C2×C42—22no—
336C2×C42C2×D418yes—
337#95—24no—
338#95—24no—
339#95—24no—
340#95—24no—
341#95—28no—
342#95—28no—
343#95—28no—
344#95—22no—
345#95—42no—
346#95—41no—
347#95—42no—
348#95—44no—
349#95—41no—
350#95—41no—
351#95—42no—
352#95—42no—
353#95—44no—
354#95—44no—
355#95—44no—
356#95—44no—
357#95—42no—
358#95—44no—
359C24—22no—
360C24—24no—
361C24—24no—
362C24—22no—
363C24—24no—
364C24—24no—
365C24—24no—
366C24—22no—
367C24—21no—
368C24—24no—
369C24—21no—
370C24—21no—
371C24—24no—
372C24—24no—
373C24—24no—
374C24—24no—
375C24—24no—
376C24—24no—
377C24—22no—
378C24—21no—
379C24—232no—
380C24—216no—
381C24—48no—
382C24—416no—
383C24—48no—
384C24—416no—
385C24—48no—
386C24—416no—
387C24—48no—
388C24—416no—
389C24—416no—
390C24—416no—
391C24—88no—
392C24—88no—
393C24—84no—
394C24—84no—
395C24—88no—
396C24—88no—
397C24—84no—
398C24—84no—
399C24—84no—
400C24—88no—
401C24—84no—
402C24C22×D418yes—
403C24C22×Q818yes—
404C24C22×Q812yes—
405C24C2×#4118yes—
406C24C2×#4112yes—
407C24H(5,𝔽2)12yes—
408C24C2511yescharacteristic
409C2×Q8—416no—
410C2×Q8—48no—
411C2×Q8—88no—
412C2×Q8—84no—
413C2×Q8—84no—
414C2×D4—232no—
415C2×D4—216no—
416C2×D4—216no—
417C2×D4—216no—
418C2×D4—216no—
419C2×D4—216no—
420C2×D4—216no—
421C2×D4—48no—
422C2×D4—4128no—
423C2×D4—48no—
424C2×D4—416no—
425C2×D4—48no—
426C2×D4C22⋊Q8132yescomplemented
427C22×C4—22no—
428C22×C4—22no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—24no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—21no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—22no—
449C22×C4—24no—
450C22×C4—24no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—24no—
458C22×C4—24no—
459C22×C4—24no—
460C22×C4—22no—
461C22×C4—21no—
462C22×C4—22no—
463C22×C4—21no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—216no—
468C22×C4—28no—
469C22×C4—22no—
470C22×C4—24no—
471C22×C4—22no—
472C22×C4—24no—
473C22×C4—22no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—22no—
477C22×C4—24no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—22no—
485C22×C4—24no—
486C22×C4—21no—
487C22×C4—24no—
488C22×C4—22no—
489C22×C4—24no—
490C22×C4—22no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—416no—
496C22×C4—416no—
497C22×C4—416no—
498C22×C4—416no—
499C22×C4—416no—
500C22×C4—44no—
501C22×C4—48no—
502C22×C4—44no—
503C22×C4—88no—
504C22×C4—88no—
505C22×C4—88no—
506C22×C4—88no—
507C22×C4—88no—
508C22×C4—88no—
509C22×C4—88no—
510C22×C4—88no—
511C22×C4—88no—
512C22×C4C22×D414yes—
513C22×C4C22×D418yes—
514C22×C4C22×D414yes—
515C22×C4C22×D414yes—
516C22×C4C22×Q812yes—
517C22×C4C22×Q812yes—
518C22×C4C2×#4112yes—
519C22×C4C2×#4112yes—
520C22×C4C2×#4114yes—
521C22×C4H(5,𝔽2)12yes—
522C22×C4H(5,𝔽2)14yes—
523C22×C4H(5,𝔽2)12yes—
524C22×C4H(5,𝔽2)12yes—
525C4⋊C4—216no—
526C4⋊C4—216no—
527C4⋊C4—48no—
528C4⋊C4—44no—
529C4⋊C4—416no—
530C4⋊C4—48no—
531C4⋊C4—44no—
532C4⋊C4—416no—
533C4⋊C4—48no—
534C4⋊C4—48no—
535C22⋊C4—216no—
536C22⋊C4—416no—
537C22⋊C4—416no—
538C22⋊C4—44no—
539C22⋊C4—416no—
540C22⋊C4—48no—
541C22⋊C4—416no—
542C22⋊C4—44no—
543C22⋊C4—416no—
544C22⋊C4—416no—
545C22⋊C4—416no—
546C22⋊C4—416no—
547C22⋊C4—416no—
548C22⋊C4—88no—
549C22⋊C4—84no—
550C22⋊C4—88no—
551C42—216no—
552C42—48no—
553C42—44no—
554C42—44no—
555C23—24no—
556C23—28no—
557C23—22no—
558C23—28no—
559C23—28no—
560C23—28no—
561C23—28no—
562C23—24no—
563C23—28no—
564C23—28no—
565C23—28no—
566C23—28no—
567C23—24no—
568C23—24no—
569C23—28no—
570C23—28no—
571C23—28no—
572C23—22no—
573C23—24no—
574C23—28no—
575C23—28no—
576C23—28no—
577C23—22no—
578C23—22no—
579C23—28no—
580C23—24no—
581C23—28no—
582C23—28no—
583C23—22no—
584C23—22no—
585C23—432no—
586C23—464no—
587C23—41no—
588C23—42no—
589C23—44no—
590C23—41no—
591C23—44no—
592C23—44no—
593C23—44no—
594C23—42no—
595C23—44no—
596C23—42no—
597C23—44no—
598C23—44no—
599C23—44no—
600C23—44no—
601C23—44no—
602C23—42no—
603C23—42no—
604C23—44no—
605C23—44no—
606C23—41no—
607C23—44no—
608C23—44no—
609C23—42no—
610C23—44no—
611C23—41no—
612C23—44no—
613C23—816no—
614C23—832no—
615C23—816no—
616C23—832no—
617C23—816no—
618C23—816no—
619C23—832no—
620C23—816no—
621C23—816no—
622C23C2×C22⋊Q8116yes—
623C23#55414yes—
624C23C23×D412yes—
625C23C23×Q811yescharacteristic
626C23C22×#4112yes—
627C23C22×#4111yescharacteristic
628C23C2×H(5,𝔽2)11yescharacteristic
629C23C2×H(5,𝔽2)11yescharacteristic
630C23C2×H(5,𝔽2)11yescharacteristic
631C23C2×H(5,𝔽2)12yes—
632C23C2×H(5,𝔽2)11yescharacteristic
633C23#58512yes—
634C23#58511yescharacteristic
635Q8—816no—
636D4—264no—
637D4—432no—
638C2×C4—24no—
639C2×C4—22no—
640C2×C4—28no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—28no—
651C2×C4—28no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—24no—
658C2×C4—41no—
659C2×C4—42no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—42no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—42no—
666C2×C4—44no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—44no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—41no—
678C2×C4—42no—
679C2×C4—44no—
680C2×C4—44no—
681C2×C4—41no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—41no—
685C2×C4—42no—
686C2×C4—416no—
687C2×C4—42no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—42no—
691C2×C4—44no—
692C2×C4—42no—
693C2×C4—41no—
694C2×C4—44no—
695C2×C4—44no—
696C2×C4—44no—
697C2×C4—42no—
698C2×C4—44no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—44no—
702C2×C4—42no—
703C2×C4—44no—
704C2×C4—42no—
705C2×C4—44no—
706C2×C4—44no—
707C2×C4—41no—
708C2×C4—44no—
709C2×C4—44no—
710C2×C4—41no—
711C2×C4—42no—
712C2×C4—44no—
713C2×C4—832no—
714C2×C4—832no—
715C2×C4C2×C22⋊Q818yes—
716C2×C4#54314yes—
717C2×C4D4214yes—
718C2×C4#54618yes—
719C2×C4#55114yes—
720C22—24no—
721C22—216no—
722C22—216no—
723C22—28no—
724C22—216no—
725C22—48no—
726C22—42no—
727C22—48no—
728C22—48no—
729C22—48no—
730C22—44no—
731C22—42no—
732C22—48no—
733C22—44no—
734C22—48no—
735C22—48no—
736C22—42no—
737C22—48no—
738C22—42no—
739C22—48no—
740C22—48no—
741C22—44no—
742C22—48no—
743C22—42no—
744C22—48no—
745C22—42no—
746C22—864no—
747C22C22×C22⋊Q812yes—
748C22C2×#54311yescharacteristic
749C22C2×D4211yescharacteristic
750C22C2×#54612yes—
751C22D4×#4112yes—
752C22C2×#55111yescharacteristic
753C22C2×#55411yescharacteristic
754C22#348112yes—
755C22#348412yes—
756C22#348412yes—
757C22#350012yes—
758C22#350111yescharacteristic
759C22#350112yes—
760C22#350511yescharacteristic
761C22#350811yescharacteristic
762C22#351312yes—
763C22#351412yes—
764C22#351412yes—
765C22#353711yescharacteristic
766C22#353711yescharacteristic
767C22#354612yes—
768C22#355111yescharacteristic
769C22#355811yescharacteristic
770C4—44no—
771C4—48no—
772C4—42no—
773C4—44no—
774C4—42no—
775C4—42no—
776C4—44no—
777C4—42no—
778C4—84no—
779C4—81no—
780C4—82no—
781C4—84no—
782C4#243718yes—
783C2—416no—
784C2—44no—
785C2C2×#243711yescharacteristic
786C2#3570212yes—
787C2#3621512yes—
788C2#3949511yescharacteristic
789C2#4249011yescharacteristic
790C2#4487412yes—
791C2#4521411yescharacteristic
792C2#4535511yescharacteristic
793C2#5909912yes—
794C2#5937811yescharacteristic
795C2#5981811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC24×D4C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#2452C2semidirect
3. #16298C2semidirect
4. #15951C2semidirect
5. #15506C2semidirect
6. #15328C2semidirect
7. #15220C2semidirect
8. #15125C2semidirect
9. #14717C2semidirect
10. #14127C2semidirect
11. #14018C2semidirect
12. #13979C2semidirect
13. #13941C2semidirect
15. C4×#399C2semidirect
17. C22×C4⋊Q8C22semidirect
18. C22×C22⋊Q8C22semidirect
24. C2×#396C22semidirect
26. C2×#393C22semidirect
32. C2×#389C22semidirect
33. C2×#389C22semidirect
36. C2×#385C22semidirect
37. C2×#385C22semidirect
38. C2×#382C22semidirect
44. C2×C4×C4⋊C4C22semidirect
45. C2×C4×C4⋊C4C22semidirect
48. #1446C22semidirect
49. #1445C22semidirect
50. #1445C22semidirect
51. #1444C22semidirect
52. #1443C22semidirect
53. #1442C22semidirect
54. #1441C22semidirect
60. #1439C22semidirect
61. #1439C22semidirect
62. #1439C22semidirect
63. #1439C22semidirect
64. #1439C22semidirect
65. #1439C22semidirect
68. C4⋊#95C22semidirect
69. C4⋊#95C22semidirect
70. C4⋊#95C22semidirect
71. C22⋊#95C22semidirect
72. C22⋊#95C22semidirect
73. C22⋊#95C22semidirect
74. C22⋊#95C22semidirect
75. C22⋊#95C22semidirect
76. C4×#95C22semidirect
83. C23×D4Q8semidirect
426. C2×D4C22⋊Q8semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#24522
C2×D4×C22⋊C42
#162982
#159512
#155062
#153282
#152202
#151252
#147172
#141272
#140182
#139792
#139412
#139022
C4×#3992